Multilinear commutators with vector symbol Formula=(b1,…,bm) defined by
Formula
are considered, where K is a Calderón–Zygmund kernel. The following a priori estimates are proved for w ∈ A∞. For 0 < p < ∞, there exists ...Multilinear commutators with vector symbol Formula=(b1,…,bm) defined by
Formula
are considered, where K is a Calderón–Zygmund kernel. The following a priori estimates are proved for w ∈ A∞. For 0 < p < ∞, there exists a constant C such that
Formula
and
Formula
where
Formula
Formula
and ML(log L)α is an Orlicz type maximal operator. This extends, with a different approach, classical results by Coifman.
As a corollary, it is deduced that the operators Formula are bounded on Lp(w) when w ∈ Ap, and that they satisfy corresponding weighted L(log L)1/r-type estimates with w ∈ A1.